Not if you use their "Dream Machine" line of products - you have to use the controller that's self hosted on the box. I'm currently trying to figure out how to disable the cloud connection on these and go back to good ol' open ports to manage the thing.
I have a Dream Machine Pro (UDM-Pro), and disabling remote access is as simple as finding the setting and turning it off. I disabled it on mine a while ago as an extra security measure.